热力学基本公式的一种简捷记忆法OA
A SIMPLE MEMORY METHOD FOR THE FUNDAMENTAL FORMULAS OF THERMODYNAMICS
本文介绍了能够写出的几乎所有热力学基本公式的一种简便实用的方法.首先把内能U、自由能F、焓H 和吉布斯函数G这四个特性函数和体积V、压强P、温度T和熵S这四个基本热力学量按照一定的顺序写出来.然后指定一些规则.按照这些规则,可以明确每个特性函数的内禀自变量,写出特性函数之间的关系式,写出特性函数对于内禀自变量的偏导数,写出热力学变量之间的偏导数关系即麦克斯韦关系式.最后,把压强和体积扩展到其他强度量和广延量.这些记忆规则,实际上也是对于热力学基本公式的规律和特点的总结.
We introduce a simple and practical method to be able to write down almost all the fundamental formulas of thermodynamics.Firstly,we write out in a certain order the four characteristic functions,internal energy U,free energy F,enthalpy H,and Gibbs function G,and the four basic thermodynamic variables,volume V,pressure P,temperature T,and entropy S.Secondly,some rules are specified.According to these rules,the intrinsic inde-pendent variables of each characteristic function are clearly revealed;the relationships between the characteristic functions,the partial derivatives of the functions with respect to the intrinsic variables,and the partial derivative relationships between the thermodynamic variables,i.e.,Maxwell relations,can be put down.Finally,the pressure and volume are expanded to other intensive and extensive quantities.These rules of memory are actually a summary of the fea-tures of the basic formulas of thermodynamics.
王怀玉
清华大学物理系,北京 100084
热力学公式特性函数内禀自变量麦克斯韦关系式记忆法
formula of thermodynamicscharacteristic functionintrinsic variableMaxwell relationmemory method
《物理与工程》 2026 (3)
87-91,5
国家重点研发计划资助项目(2018YFB0704304-3).
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